Answer:
The value of y is -2
Therefore the given point (8,y) becomes (8,-2)
Step-by-step explanation:
Step-by-step explanation:
Given that the line through the points (8, y) and (9, 1) and slope m is 3
To find y to the line through the points (8, y) and (9, 1) :
The formula for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)[/tex] , [tex](x_2,y_2)[/tex] be the given points (8, y) and (9, 1) respectively
Now substitute the values of the points and m=3 in the formula
[tex]3=\frac{1-y}{9-8}[/tex]
[tex]3=\frac{1-y}{1}[/tex]
[tex]3=1-y[/tex]
[tex]3-(1-y)=1-y-(1-y)[/tex]
[tex]3-1+y=1-y-1+y[/tex]
[tex]2+y=0[/tex] ( adding the like terms )
[tex]2+y-2=0-2[/tex]
Therefore y=-2
Therefore the value of y is -2
Therefore the given point (8,y) becomes (8,-2)